Finding the Fourth Proportional to 25,856.34, 35,681.72 and 14,678.34

Step by Step Solution

1. Step 1: Write the proportion equation
   25,856.34 : 35,681.72 = 14,678.34 : x
2. Step 2: Convert to fraction form
   25,856.34/35,681.72 = 14,678.34/x
3. Step 3: Cross multiply
   25,856.34x = 35,681.72 × 14,678.34
4. Step 4: Simplify right side
   25,856.34x = 523,748,417.94
5. Step 5: Solve for x
   x = 523,748,417.94/25,856.34
6. Step 6: Final answer
   x = 20,256.09